Division of natural numbers

Division of natural numbers

Division is one of the four basic arithmetic operations in mathematics. It is the opposite operation of multiplication and means splitting something into equal groups. The symbols for division are ““, “” and “” .

The division of two numbers has the following form:

“dividend divisor = quotient”.

The first number is called the dividend, the second is the divisor and result is called the quotient.
We can divide any number by any number except zero. The division by zero is undefined. To be good at dividing numbers you need to have a good knowledge about the division table. The division table is something like an inverse multiplication table.

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Dividing natural numbers

Now, we are going to cover division of natural numbers. If you stick to the principles described in the next part of this lesson, you will have no problem dividing any number by any number. The best way to learn something is by looking at examples of the problem.

Examine 1.

We are going to divide number by number :

The division in the example above is done in the following steps:
-> We start by dividing the most significant digit with the divisor. In our example the most significant digit is . Digit can not be divided by digit . If we can’t divide the digit by the divisor, we combine that digit with the next significant digit and get a two digit number. In our case, it is the digit so we get number . We divide number by number . The result is number . Write down number in the result.
-> In this step, we multiply number by number and write under number . After that we must subtract those numbers.

->Number minus number is number . Write number as a result of subtraction. Now, we need to add the next digit from the dividend next to number . That is number . Now we have .
-> Now, we need to divide number by number to get the next digit in the resulting number. Number divided by is number . Write number in the result.
-> After that, . We write number under the and subtract that numbers. The result is equal to . Subtraction is done when number remainder of division can not divide with divisor.
-> The final result is number . That means that .

Examine 2.

The next example is going to be more complex. We are going to divide number by number .

The division should look like this:
-> Once again, digit is lower than number so we can’t divide. Take the next digit and form . Number divided by number is number . Write nuber in the result.
->Now, we have . Write down number under number and subtract those numbers. After that,we have . Write number as the result of subtraction.
-> Add one digit from the dividend. The next digit is . Now we have number . Number divided by numnber is number .
->Now, we have . Write number under number and subtract that. The result is number .
-> Add one digit from the dividend. That digit is digit . Now we have number .Number divided by number is number .
-> We have . Write number under number and subtract. The result of subtract is number .